How can i edit an image to make it shake in the video editor?
You can do it by keyframing object location and giving it a noise F-curve modifier. I chose my camera to add some shake into it.

Select the object you want to shake. Press i and choose Location to keyframe the object location.

Keep your object selected and go to Graph editor. Shortcut is Shift+F6.

Select the dimension you want to shake your object to. I chose Z but you can do this to all dimensions if you want to. Select Key and under Add F-Curve Modifier you find Noise.

From Modifiers panel you can adjust the strength. If the panel is not visible you can press n key. You can play with other settings if you want to.

Just play the animation and you have some shaking.
Video editor
In Video editor you can keyframe the offset location of your image or image sequence as can be seen in image below. Everything else is the same.